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We explain why Tseytlin's off-shell formulation of string theory is well-defined. Although quantizing strings on an off-shell background requires an arbitrary choice of Weyl frame, this choice is not physically significant since it can be…

High Energy Physics - Theory · Physics 2024-08-01 Amr Ahmadain , Aron C. Wall

The Heterotic twistor string theory of Mason and Skinner is investigated with particular attention given to the role of topological gravity on the world-sheet. The general structure of scattering amplitudes is discussed and expressed in…

High Energy Physics - Theory · Physics 2012-12-27 R. A. Reid-Edwards

We construct a sigma model in two dimensions with Galilean symmetry in flat target space similar to the sigma model of the critical string theory with Lorentz symmetry in 10 flat spacetime dimensions. This is motivated by the works of Gomis…

High Energy Physics - Theory · Physics 2008-11-26 Bom Soo Kim

We consider two-dimensional Yang-Mills theories on arbitrary Riemann surfaces. We introduce a generalized Yang-Mills action, which coincides with the ordinary one on flat surfaces but differs from it in its coupling to two-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'adda , P. Provero

We summarize the results obtained in the last few years about permutation orbifolds in two-dimensional conformal field theories, their application to string theory and their use in the construction of four-dimensional heterotic string…

High Energy Physics - Theory · Physics 2011-11-07 M. Maio

The interest in string Hamiltonian system has recently been rekindled due to its application to target-space duality. In this article, we explore another direction it motivates. In Sec.\ 1, conformal symmetry and some algebraic structures…

High Energy Physics - Theory · Physics 2007-05-23 Chien-Hao Liu

$N=2$ string theories are formulated in space-times with 2 space and 2 time dimensions. If the world-sheet matter system consists of 2 chiral superfields, the space-time is Kahler and the dynamics are those of anti-self-dual gravity. If…

High Energy Physics - Theory · Physics 2009-10-30 C. M. Hull

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , A D'Adda , P. Provero

Correlators in symmetric orbifold CFTs are given by a finite sum of admissible branched covers of the 2d spacetime. We consider a Gross-Mende like limit where all operators have large twist, and show that the corresponding branched covers…

High Energy Physics - Theory · Physics 2021-05-26 Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton , Pronobesh Maity

We study the correspondence between the linear matrix model and the interacting nonlinear string theory. Starting from the simple matrix harmonic oscillator states, we derive in a direct way scattering amplitudes of 2-dimensional strings,…

High Energy Physics - Theory · Physics 2007-05-23 A. Jevicki , J. P. Rodrigues , A. J. van Tonder

We study the topologically twisted string theory on the general back-ground $AdS_3\times {\cal N}$ which is compatible with the world-sheet N=2 superconformal symmetry and is extensively discussed in the recent works (hep-th/9904024,…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Sugawara

Beginning with a review of the arguments leading to the so-called c=1 barrier in the continuum formulation of noncritical string theory, the pathology is then exhibited in a discretized version of the theory, formulated through dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Parthasarathi Majumdar

We define string geometry: spaces of superstrings including the interactions, their topologies, charts, and metrics. Trajectories in asymptotic processes on a space of strings reproduce the right moduli space of the super Riemann surfaces…

High Energy Physics - Theory · Physics 2021-02-03 Matsuo Sato

We propose a two-dimensional superstring sigma model that defines a self-contained corner of heterotic string theory, whose second quantization is heterotic matrix string theory. This worldsheet theory arises from a BPS decoupling limit…

High Energy Physics - Theory · Physics 2025-08-27 Eric A. Bergshoeff , Kevin T. Grosvenor , Luca Romano , Ziqi Yan

We study worldsheet theory of confining strings in two-dimensional massive adjoint QCD. Similarly to confining strings in higher dimensions this theory exhibits a non-trivial $S$-matrix surviving even in the strict planar limit. In the…

High Energy Physics - Theory · Physics 2018-08-01 Sergei Dubovsky

A model of a two-sheeted universe in the quantum theory of gravity is proposed, based on the definition of 3D invariant and gauge-invariant proper time of the universe. A uniform time in a closed universe is introduced in the class of…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Natalia Gorobey , Alexander Lukyanenko , A. V. Goltsev

We use string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. We obtain concise geometric expressions for the objects describing bulk and boundary…

Quantum Algebra · Mathematics 2022-11-09 Jürgen Fuchs , Christoph Schweigert , Yang Yang

This is an introduction to two-dimensional conformal field theory and its applications in string theory. Modern concepts of conformal field theory are explained, and it is outlined how they are used in recent studies of D-branes in the…

High Energy Physics - Theory · Physics 2017-08-23 C. Schweigert , J. Fuchs , J. Walcher

We construct Witten-type string field theory vertices for a fermionic first order system with conformal weights (0,1) in the operator formulation using delta-function overlap conditions as well as the Neumann function method. The identity,…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Kling , Sebastian Uhlmann

We introduce a new two-dimensional string theory defined by coupling two copies of Liouville CFT with complex central charge $c=13\pm i \lambda$ on the worldsheet. This string theory defines a novel, consistent and controllable model of…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez